The base b logarithm of a number is the exponent that we need to raise the base in order to get the number. The logarithm of the multiplication of x and y is the sum of logarithm of x and …

A logarithm is just another way of writing exponents. Here are properties or formulas of logarithms. Understand the log formulas with derivation, examples, and FAQs.

The natural logarithm has the number e ≈ 2.718 as its base; its use is widespread in mathematics and physics because of its very simple derivative. The binary logarithm uses base 2 and is …

Jan 5, 2026 · Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = log b n. For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, …

Examples of Using Logarithm Laws The three most important logarithm laws are shown below with an example of each.

Learn the eight (8) log rules or laws to help you evaluate, expand, condense, and solve logarithmic equations. Try out the log rules practice problems for an even better understanding.

5 days ago · In mathematics, a logarithm is the inverse operation of exponentiation. It is defined as the power to which the base number must be raised to get the given number. Logarithms …

Nov 6, 2024 · This page covers all 8 log rules (including the change of base formula and log exponent rules). Each log rule is covered in-depth with simple explanations and examples.

In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number?

Formula and example problems for the product rule, quotient rule and power rule. Also, free downloadable worksheets on these topics.